In Figs. REF  and
REF  we also show the FBC and PBC spectra averaged over
roughly a hundred instances of disorder. In
Fig. REF  one can observe the typical narrowing occurring in random
lasers [1]}, [2]}, [3]}, [4]} as the pumping energy
increases. Fig. REF  displays flat spectra in the low
pumping regime, and homogeneously distributed random resonances in the
high pumping regime. They look like the central part of the spectra of
Fig. REF .
